# What is the LCM of 3 and 14?

LCM of 3 and 14 is the smallest number which divides both 3 and 14 exactly without a remainder.

## Answer: LCM of 3 and 14 is 42

The two methods that are used to find the LCM of 3 and 14 are given below.

## Explanation:

For 3 and 14, the smallest number which would be perfectly divisible by them is their LCM which is 42. We have used two methods to calculate the LCM of 3 and 14 are:

- LCM of 3 and 14 by Listing Method
- LCM of 3 and 14 by Common Division Method

Least Common Multiple of 3 and 14 is the smallest number which will divide 3 and 14 exactly.

### Method1: LCM of 3 and 14 by Listing Method

Let us list the first few multiples of 3 and 14 and find the common multiples.

- Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39,
**42**, 45, 48,... - Multiples of 14: 14, 28,
**42**, 56, 70,...

Least Common Multiple of 3 and 14: 42

The smallest among the common multiples is the LCM of 3 and 14, which in the above case we can see is 42. So, LCM (3, 14) = 42

### Method2: LCM of 3 and 14 by Common Division Method

Here we will divide the numbers 3 and 14 simultaneously with prime numbers until we don't have a prime number to further divide both 3 and 14.

So, the least common multiple o 3 and 14 is 42